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Toposes and Local Set Theories: An Introduction
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Toposes and Local Set Theories: An Introduction Paperback - 2008

by J. L. Bell

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From the publisher

Topos theory has led to unexpected connections between classical and constructive mathematics. This text explores Lawvere and Tierney's concept of topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. A virtually self-contained introduction, this volume presents toposes as the models of theories -- known as local set theories -- formulated within a typed intuitionistic logic.
The introductory chapter explores elements of category theory, including limits and colimits, functors, adjunctions, Cartesian closed categories, and Galois connections. Succeeding chapters examine the concept of topos, local set theories, fundamental properties of toposes, sheaves, locale-valued sets, and natural and real numbers in local set theories. An epilogue surveys the wider significance of topos theory, and the text concludes with helpful supplements, including an appendix, historical and bibliographical notes, references, and indexes.

Details

  • Title Toposes and Local Set Theories: An Introduction
  • Author J. L. Bell
  • Binding Paperback
  • Edition Reprint
  • Pages 290
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, New York
  • Publication date 2008-01-11
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Price on Product - Canadian, Table of Contents
  • ISBN 9780486462868 / 0486462862
  • Weight 0.65 lbs (0.29 kg)
  • Dimensions 8.41 x 5.51 x 0.56 in (21.36 x 14.00 x 1.42 cm)
  • Category Mathematics
  • Library of Congress subjects Set theory, Logic, Symbolic and mathematical
  • Library of Congress Catalogue Number 2007035598
  • Dewey Decimal Code 512.62

About the author

J. L. Bell is a Professor at the University of Western Ontario and co-author of Dover's Models and Ultraproducts.
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Toposes and Local Set Theories: An Introduction
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Toposes and Local Set Theories: An Introduction (Dover Books on Mathematics) [Paperback] Bell, J. L
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Toposes and Local Set Theories: An Introduction (Dover Books on Mathematics) [Paperback] Bell, J. L
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Toposes and Local Set Theories: An Introduction (Dover Books on Mathematics) [Paperback] Bell, J. L

by Bell, J L

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Toposes and Local Set Theories: An Introduction (Dover Books on Mathematics)

Bell, J. L.

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